Q. 1. A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be
(a) 8
(b) 6
(c) 7
(d) 5
(e) None of these
(a) 1 day
(b) 1 ½ days
(c) ¾ day
(d) ½ day
(e) None of these
Q. 3. If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
(a) 7 days
(b) 6 days
(c) 4 days
(d) 3 days
(e) None of these
Q. 4. Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
(a) 15
(b) 10
(c) 9
(d) 8
(e) None of these
Q. 5. 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required
(a) 4
(b) 5
(c) 6
(d) 8
(e) None of these
Q. 6. If 5 people undertook a piece of construction work and finished half the job in 15 days. If two people drop out, then the job will be completed in
(a) 25 days
(b) 20 days
(c) 15 days
(d) 10 days
(e) None of these
Q. 7. 30 labourers working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, then the number of labourers required to finish the same piece of work in 30 days will be
(a) 15
(b) 21
(c) 25
(d) 22
(e) None of these
Q. 8. If 5 girls can embroider a dress in 9 days, then the number of days taken by 3 girls will be
(a) 20 days
(b) 10 days
(c) 14 days
(d) 15 days
(e) None of days
Q. 9. A and B together can plough a field in 10 hours but by himself A requires 15 hours. How long would B take to plough the same field?
(a) 10 hours
(b) 20 hours
(c) 30 hours
(d) 40 hours
(e) None of these
Q. 10. 16 men or 20 women can finish a work in 25 days. How many days 28 men and 15 women will take to finish this job?
(a) 19 13/43 days
(b) 11 27/43 days
(c) 8 days
(d) 10 days
(e) None of these
Answer:-
Ans:1. (a) 8
Explanation:
If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.
Therefore, here, the required number of days = 12 × 24/ 36 = 8 days.
Ans:2. (a) 1 day
Explanation:
The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.
Ans:3. (d) 3 days.
Explanation:
That is, 1 person can do one time of the work in 3 days.
Therefore, 7 persons can do 7 times work in the same 3 days itself.
Ans:4. ( d) 8
Explanation:
If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 10 × 40/50 = 8 days.
Ans:5. (d) 8
Explanation:
That is, 1 work done = 12 × 8 × 10
Then, 12 8 × 10 = ? × 15 × 8
? (i.e. No. of men required) = 12 × 8 × 10/15× 10 = 8 days.
? (i.e. No. of men required) = 12 × 8 × 10/15× 10 = 8 days.
Ans:6. (a) 25 days
Explanation:
That is, half the work done = 5 × 15 × ½
Then, 5 × 15 × ½ = 3 × ? ×1/2
i.e. 5 × 15 = 3 × ?
therefore, ? (No. days required) = 5 × 15/3 = 25 days.
Ans:7. (b) 21
Explanation:
That is, 1 work done = 30 × 7 ×18 = ? × 6 × 30
? (No. of labourers) = 30 × 7 × 18/6 × 30 = 21.
Ans:8. (d) 15 days
Explanation:
That is, 5 × 9 = 3 × ?
? = 5 × 9/3 = 15 days.
Ans:9. (c) 30 hours
Explanation:
If A and B together can do a piece of work in x days and A alone can do the same work in y days, then B alone can do the same work in x y/ y – x days.
Therefore, the No. of hours required by B = 10 × 15/ 15 – 10 = 150/5 = 30 hours.
Ans:10. (d) 10 days
Explanation:
16 men = 20 women
Therefore, 1 women = 16/20 men = 4/5 men
15 women = 4/5 × 15 men = 12 men
i.e. 28 men + 15 women = 28 men + 12 men = 40men
1 work done by men = 16 × 25
16 × 25 = 40 × ?
? ( no. of days) = 16 × 25/40 = 10 days.
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